SSC [PRE+MAINS] Mock Test 230 [Answer with Solution]

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1 SS [PRE+MAINS] Mock Test 0 [Answer with Solution]. () (x ) (x + ) (x ) (x + ) (x + x ) (x + x ) x + x x + x + x x x x + x + x x x + So, cofficient of x. () HF of fraction. () HF of,, LM of,8, t t x v x y v y HFof Numerator LM of Derominator 7 v 7 v v () Puja Archna Aarti yrs. ago Present ratio : : : : 7 68 : 7 : 60 So, Aarti's salary ,00 6,000. () Ratio of sides : : 6. () 00 m 6 : : 00 m Side Altitudes Relative velocity km/hr 60 Speed of train + 8 km/hr 7. () Let sides are k, k, 6k We know, Area of Semi permiter of In Radius So, Area of So, Height of ( 6)k k k k H (equilizing area) H cm. 8. () odd + odd + even number So, + and + are even numbers So, '' will be HF.. () Salt Water Solutions 0 0. () st lass nd lass Fare : Passengers : 0 Total amount : 0 or : 0 Here ( + 0) unit,000 unit,000 unit,000 So, amount collected from st class unit 000. () ( ) + / 0.6 ( 0. ). () New rate % Time times So, overall rate () A. () D h E Area of AE 7 cm Here area of AE is equal to area of AD Z in both ADE area is common Now, DE and DE both have some base DE and height is between parallel lines. So, area of both triangle DE DE 7 cm a A P º 0º b 0º º 60º D Q º

2 A º In APD cosº AP AD AD In ADQ AQ AD cos0 b AD From (i) and (ii) a b. () a + b + c 0 Put, a, b, c (a b c) ab...(i)...(ii) 6. () English passed students 00 77% Maths passed students (00 ) 66% ommon passed (00 ) 87% So, only passed % So, 6% of students 78 So, total students 7. () A 0 00 In mins work done ( + ) leftover work 00 ltr A would take more min. to fill the tank 8. () Speed Distance Time Distance Travelled in hour minutes (i.e. / hrs) km Time taken by elder brother to catch the boy hour minutes hrs ( : am to : 0 pm) Relative speed 0 km/hr Speed of scooter 0 8 km/h. () Put, cos / and sin / in cos sin cos sin 0. () 80 6 ( M + W + ) which is option (D) 6 80 ( M + 8 ) M, W /, / 0 ( M + ) 80 Required Time for M hours. () 80 a b abc a bc a b abc c. () Difference 0 + % 00 Difference in value 000. () sin cos (sin + cos ) (sin cos ) (sin cos ) Hence, (i) is not a correct statement. 00 `. () Required number of cubes 8 0. () Put x we get A 6 Which is option (D) 6. () Area of quadrilateral AD diagonal (sum of offsets on the given diagonal) 6 ( + 7) cm

3 7. () Put, º in the expression y cos xsin 0 we get x sin º y cos º x y puting x y and º in x sin + y cos sincoswe get x x x + y x 8. () XYA, XY & A are similar (by AA similarity) XY divides A into two parts of equal area. Area(XY) Area(quad. XYA). () 0 Area (A) Area( XY) X Area( A) A Area( XY) X Area( XY) A X A X A X A A X A AX A (0 ) gm 0 gm 0. () Put n option () satisfy. () x + x x x x + x + x x 7 x + x + 7 x + x 7 8. () The volume of iron used ext. int. ext. int. r h r h h (r r ) 7 0 ( ) cu. cm () Relative speed m/s km/hr speed of bus 0 8 km/hr. () Let, r : internal radius r : external radius h : height of the pipe Volume of the metal r h r h r 7 8 r r r 6 8 cm thickness 8 cm 6. () f () sin cos sin cos sin [ r ]. () x x x + x + f () Maximum 7. () From O draw OL A and OM D & join OA and O

4 A M L O D AL, A cm, OA cm OL OA AL () () (6 ) OL cm Now, M D cm and O cm OM O M () () (6 ) OL cm ML OM + OL ( + ) cm 7 cm 8. () Ratio of equivalent capitals of A, and for month ( ) : (000 ) : ( ) (0 + 0) : (0 ) : ( ) 8 : 00 : 00 7 : 80 : 0 7 : 60 : 70 Sum of ratio Required difference ` () Relative velocity km/hr 0 8 m/sec. (cos x) + (sin x) + sin xcos x(sin x + cos x) (cos x + sin x). () Given, a sec+ b tan...(i) and, a sec b tan From equations, (i) and (ii), a sec b tan From equations, (i) and (iii), a sec b tan From equations, (iv), a sec a ( + tan ) a b a b + a b. () x + / + /...(ii)...(iii)...(iv)...(v) (x ) / + /...(i) ubing both sides, (x ) [ / + / ] x (x)() (x ) ( / ) + ( / ) + ( / ) ( / ) [ / + / ] x 8 6x + x (x ) From (i), x 8 6x + x + + 6x x 8 6x + x + 6x 8 x 6x + x 6x x 6x + 6x 0. () length meter 8 () 8 () +. () D A now, 8 () ; Remainder (a ) a even ; Remainder Given, A Also, A + 80º 60º and, A 0º [ AD is cyclic] and, ; Remainder So, net remainder Remainder of 0. () cos 6 x + sin 6 x + sin xcos x Now, D A 0º 0º 70º Minimum difference between any two angles is 0º.

5 . () Area of four walls h(l + b) l b and h m 0 8 b b 0 and l 0 Area of floor l b 0 0 m 6. () Actual amount to be paid ` 780 So, required extra amount ` 0 7. () Let water in the tank is h deep. h 8. h 8.. ft. 8. () Let the breadth and height of 'b' and 'h' respectively. Then, 70. b b m Also, b h h m.. () Total cost of plastering inner surface 0. () 7 7. ` 8 h 0º º D x A 0( ) m Distance travelled in h, D 0( ) m Let A be the building and its height be 'h' and AD be 'x'. h x tanº h x...(i) h x 0( ) tan0º h h x 0( ) + From equation (i) and (ii) h 0( ) h ( ) 0( ) h 0 m. () Let the number by x and x. Then, 8 x x x 76 x x Hence, the largest number is x 8. () Total one-digit number No. of digits Total two-digit number 0 No. of digits 80 Total three-digit number 00 No. of digits 700 Let there are x digits number. According to question, x x 7 Number of pages () Here, A 0 days and days Work done by A & in 6 days A A Remaining work From question,...(ii) A Work done by A & in days A 0 or, c c c 0 days 0

6 . () Let the original value of fridge be ` x. Then, cost price 6 x selling price 0 00 x 0x x 00 6 Gain percent x %. () Number of men 0 Number of women Amount distributed among men and women 7 80% ` 0 Let the wages paid to a man be ` x and to a woman be ` x, then 0 x + x 0 0x + 60x 0 x Wages received by a woman ` 8 6. () According to question, 8 % % of sum 0 sum ` () ash price, P ` 000 ash down payment, DP ` 7000 alance due, after I st installment, D ` 000 P value of installment ` 800 n no. of installments R rate of interest According to question, nr 00 D (n )R 00 np R R R 00 R 00 + R R R 00 R 00 R 00 R % 8. () Let the cost price of book be ` x. Then, (.x 8) 0.8x x 0.x 8 0.0x 8 x 0.0 ` 0. () Let the cost price of apples be ` 00. Then, selling price of 00 apples will be ` 800.P. of apple 00 ` and S.P. of apple ` 8 Loss 8 ` Loss percent Loss.P % 60. () As the sum of money that are to be divided among A, and and between E and F are not given. So, the amount that receive cannot be determined. 6. () () A : : 7 6 : : (Multiplying by 0) or 0 : 0 : 6 ATQ, A share

7 share 0 0 share 6 6 A : : 0 : 0 : 6 So, 'A' will get 0 00 ` () ATQ, P P ` () Let, x, y, z 6. () Let,,, a 66. () / / / Total money spend () Using oys Girls. : : So, Number of oys () ATQ, man women man women Man Women Let, Man 0 Women 0 Married Man Married Women Total adults who are married Total adults who are not married 0 So, % % 6. () percentage of marks % 00 marks 80% A marks 0% () In Radius Area of Δ Semi perimeter of Δ Area of trangle made by medians 7 So, Semi perimeter 7 8 Perimeter () A : K Price : Total cost 8 + K New cost + K + K ATQ, 8 K K + K + 6K 0 K K 0 So, : A : 7. () Ist type Equ. Discount % IInd type 6 Equ. Discount % 00 For From 'A' it is more profitable. 7. () M S 6 Ratio of M and : : % 00 % 0 6 7

8 7. () a a (y rationalizing) Similary, b So, ab a b Replacing in a b b b b b b b b b b b 7. () ATQ, sarees + shirts saree + 6 shirt saree shirt... (i) sarees + shirt 600 (given) from (i) shirt 600 shirt ` 00 6 shirt 6 00 ` () (original) 77. () Women hildren Number Hour 6 Total work New work 0 New work done by children Rest work 0 New hour of working 0 0 hrs 78. () Let, A income A (Saving income) income 6A (Saving income) cost spend by 'A' on gift ATQ, A A... (i) From IInd case 6A 0... (ii) Solving (i) and (ii) A 0, 0 So, Total cost of gift 0 ` 0 7. () Fixed price + km 0... (i) Fixed price + 0 km (ii) Eq. (i) (ii) km 0 km charge ` 0 Putting in (i) So, fixed price 0 0 ` () If '' gets 0 marks '' will get 7 marks '' marks can not be in range of '80 0' 8. () tan + tan Squaring both sides tan + tan + tan + tan Ans. 8. () 80 m tan 0º A A 80 m. 0º 8. () Let x be the height of tree 60 : x : : 8 : 60 x 8 60 x 80 m Ans () Numbers are 0, 0 (This can be checked through option) 8. () () y using option () A years (ago) A Present year later A (Given) So, A's present age 7 Hence, (Here A 7 ) () Let total number of boys 00 0% of boys

9 8. () th of girl 0 Total girl 0 Hence, oys : Girls 00 : 0 : cot 0º cot 7º tanº tan 60º Now, tan º cot (0º º) cot 7º tan 60º cot (0º 60º) cot 0º cot 0º cot 7º (cot 0º cot 7º ) 0. () Total cost of Radio + ` 0 Selling price of Radio ` 00 Profit % () % % % % 0. () S.P M.R.P % discount ) 6 % discount 6 6 ) Making M.R.P same we get S.P and 0 0 R 600 Hence, he bought it at ` () SP of article `. S.P. of 0 articles 0. `. and P ` 8. () Profit % % ircum radius a Area of Incircle : Area of ircumcircle a : a :. () Replace angle 0º and 70º by º each (Z sum of 0º and 70º is 0º) + + Answer Key. (). (). (). (). () 6. () 7. () 8. (). () 0. (). (). (). (). (). () 6. () 7. () 8. (). () 0. (). (). (). (). (). () 6. () 7. () 8. (). () 0. (). (). (). (). (). () 6. () 7. () 8. (). () 0. (). (). (). (). (). () 6. () 7. () 8. (). () 0. (). (). (). (). (). () 6. () 7. () 8. (). () 60. () 6. () 6. () 6. () 6. () 6. () 66. () 67. () 68. () 6. () 70. () 7. () 7. () 7. () 7. () 7. () 76. () 77. () 78. () 7. () 80. () 8. () 8. () 8. () 8. () 8. () 86. () 87. () 88. () 8. () 0. (). (). (). (). (). () 6. () 7. () 8. (). () 00. () Let A be side of. In radius a